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Finding the Third Proportional to 317,388.38 and 430,565.63

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Solution

The third proportional to 317,388.38 and 430,565.63 is: 584,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,388.38 : 430,565.63 = 430,565.63 : x
  2. Step 2: Convert to fraction form
    317,388.38/430,565.63 = 430,565.63/x
  3. Step 3: Cross multiply
    317,388.38x = 430,565.63 × 430,565.63
  4. Step 4: Simplify right side
    317,388.38x = 185,386,757,431.64
  5. Step 5: Solve for x
    x = 185,386,757,431.64/317,388.38
  6. Step 6: Final answer
    x = 584,100.65

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.